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CSL
2008
Springer
13 years 6 months ago
Model Transformations in Decidability Proofs for Monadic Theories
We survey two basic techniques for showing that the monadic second-order theory of a structure is decidable. In the first approach, one deals with finite fragments of the theory (g...
Wolfgang Thomas
LOPSTR
2009
Springer
13 years 11 months ago
Deciding Full Branching Time Logic by Program Transformation
Abstract. We present a method based on logic program transformation, for verifying Computation Tree Logic (CTL∗ ) properties of finite state reactive systems. The finite state ...
Alberto Pettorossi, Maurizio Proietti, Valerio Sen...
IANDC
2007
133views more  IANDC 2007»
13 years 4 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
FSTTCS
2009
Springer
13 years 11 months ago
Covering of ordinals
The paper focuses on the structure of fundamental sequences of ordinals smaller than ε0. A first result is the construction of a monadic second-order formula identifying a given ...
Laurent Braud
LICS
2006
IEEE
13 years 10 months ago
Monadic Chain Logic Over Iterations and Applications to Pushdown Systems
Logical properties of iterations of relational structures are studied and these decidability results are applied to the model checking of a powerful extension of pushdown systems....
Dietrich Kuske, Markus Lohrey